ITERATIVE SEQUENCES OF THE LOCALIZATION METHOD
- Authors: Krishchenko A.P1
-
Affiliations:
- Bauman Moscow State Technical University
- Issue: Vol 60, No 11 (2024)
- Pages: 1460-1470
- Section: ORDINARY DIFFERENTIAL EQUATIONS
- URL: https://ogarev-online.ru/0374-0641/article/view/273223
- DOI: https://doi.org/10.31857/S0374064124110037
- EDN: https://elibrary.ru/JELHZZ
- ID: 273223
Cite item
Abstract
References
- Krishchenko, A.P., Localization of invariant compact sets of dynamical systems, Differ. Equat., 2005, vol. 41, no. 12, pp. 1669–1676.
- Starkov, K.E. Cancer cell eradication in a 6D metastatic tumor model with time delay / K.E. Starkov, A.N. Kanatnikov // Commun. Nonlin. Sci. Numer. Simul. — 2023. — V. 120. — Art. 107164.
- Kanatnikov, A.N. Ultimate dynamics of the two-phenotype cancer model: attracting sets and global cancer eradication conditions / A.N. Kanatnikov, K.E. Starkov // Mathematics. — 2023. — V. 11, № 20. — Art. 4275.
- Krishchenko, A.P. and Podderegin, O.A., Hopf bifurcation in a predator–prey system with infection, Differ. Equat., 2023, vol. 59, no. 11, pp. 1573–1578.
- Krishchenko, A.P. and Tverskaya, E.S., Behavior of trajectories of systems with nonnegative variables, Differ. Equat., 2020, vol. 56, no. 11, pp. 1408–1415.
- Starkov, K.E. On the dynamics of immune-tumor conjugates in a four-dimensional tumor model / K.E. Starkov, A.P. Krishchenko // Mathematics. — 2024. — V. 12, № 6. — Art. 843.
- Analysis of immunotherapeutic control of the TH1/TH2 imbalance in a 4D melanoma model applying the invariant compact set localization method / M.N. Gomez-Guzman, E. Inzunza-Gonzalez, E. Palomino-Vizcaino [et al.] // Alex. Eng. J. — 2024. — V. 107. — P. 838-850.
- Gamboa, D. Ultimate bounds for a diabetes mathematical model considering glucose homeostasis / D. Gamboa, L.N. Coria, P.A. Valle // Axioms. — 2022. — V. 11, № 7. — Art. 320.
- Starkov, K.E. Dynamic analysis of the melanoma model: from cancer persistence to its eradication / K.E. Starkov, L.J. Beristain // Int. J. Bifur. Chaos. — 2017. — V. 27. — Art. 1750151.
- Krishchenko, A.P. Estimations of domains with cycles / A.P. Krishchenko // Comput. Math. Appl. — 1997. — V. 34, № 3-4. — P. 325-332.
- Khalil, H.K. Nonlinear Systems / H.K. Khalil. — 3rd edn. — Upper Saddle River : Prentice Hall, 2002. — 750 p.
- Beay, L.K. A stage-structure Rosenzweig-MacArthur nodel with effect of prey refuge / L.K. Beay, M. Saija // Jambura J. Biomath. — 2020. — V. 1, № 1. — P. 1-7.
- Arnold, V.I., Ordinary Differential Equations, Heidelberg; Berlin: Springer, 1992.
Supplementary files
